Overview

The Handbook of Mathematical Fluid Dynamics is a compendium of essays that provides a survey of the major topics in the subject. Each article traces developments, surveys the results of the past decade, discusses the current state of knowledge and presents major future directions and open problems. Extensive bibliographic material is provided. The book is intended to be useful both to experts in the field and to mathematicians and other scientists who wish to learn about or begin research in mathematical fluid dynamics. The Handbook illuminates an exciting subject that involves rigorous mathematical theory applied to an important physical problem, namely the motion of fluids.

Full Product Details

Author:   S. Friedlander (University of Illinois, Chicago, USA) ,  D. Serre (Ecole Normale Superieur de Lyon, Lyon, France.)
Publisher:   Elsevier Science & Technology
Imprint:   North-Holland
Dimensions:   Width: 16.50cm , Height: 2.90cm , Length: 24.00cm
Weight:   1.270kg
ISBN:  

9780444512871

ISBN 10:   044451287
Pages:   626
Publication Date:   27 March 2003
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   Awaiting stock  

Table of Contents

Preface. Statistical Hydrodynamics (R. Robert). Topics on Dydrodynamics and Volume Preserving Maps (Y. Brenier. Weak Solution of Incompressible Euler Equations (A. Shnirelman). Near Identity Transformations for the Navier-Stokes Equations (P. Constantin). Planar Navier-Stokes Equations Vortificity Approach (M. Ben-Artzi). Attractors of Navier-Stokes Equations (A. Babin). Stability and Instability in Viscous Fluids (M. Renardy, Y. Renardy). Localized Instabilities in Fluids (S. Friedlander, A. Lipton-Lifshitz). Dynamo Theory (A.D. Gilbert). Water-waves as a Spatial Dynamical System (F. Dias, A. Looss). Solving the Einstein Equations by Lipschitz Continuous Metrics: Shock Waves in General Relativity (J. Groah, J. Smoller, B. Temple).

Reviews

"""The book represents an excellent attempt to present the subject area of mathematical fluid dynamics to a readership in fluid dynamics, applied mathematics, and general mathematics."" V.A. Vladimirov. Journal of Fluid Mechanics, 2004."

The book represents an excellent attempt to present the subject area of mathematical fluid dynamics to a readership in fluid dynamics, applied mathematics, and general mathematics. V.A. Vladimirov. Journal of Fluid Mechanics, 2004.

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